Search a number
-
+
13400401120040 = 23511130932326087
BaseRepresentation
bin1100001100000000011000…
…1001100000101100101000
31202110001202222211220112002
43003000012021200230220
53224023010141320130
644300020450110132
72552101301100524
oct303000611405450
952401688756462
1013400401120040
1142a70950a2560
12160510727b348
1376286343aa9c
143448235a0d84
151838963b5b45
hexc3006260b28

13400401120040 has 64 divisors (see below), whose sum is σ = 32894419973760. Its totient is φ = 4872498865920.

The previous prime is 13400401120037. The next prime is 13400401120109. The reversal of 13400401120040 is 4002110400431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13400401119994 and 13400401120021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4597877 + ... + 6923963.

It is an arithmetic number, because the mean of its divisors is an integer number (513975312090).

Almost surely, 213400401120040 is an apocalyptic number.

13400401120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400401120040 is an abundant number, since it is smaller than the sum of its proper divisors (19494018853720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13400401120040 is a wasteful number, since it uses less digits than its factorization.

13400401120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339202 (or 2339198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13400401120040 its reverse (4002110400431), we get a palindrome (17402511520471).

The spelling of 13400401120040 in words is "thirteen trillion, four hundred billion, four hundred one million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 13093 26186 52372 65465 104744 130930 144023 261860 288046 523720 576092 720115 1152184 1440230 2326087 2880460 4652174 5760920 9304348 11630435 18608696 23260870 25586957 46521740 51173914 93043480 102347828 127934785 204695656 255869570 511739140 1023478280 30455457091 60910914182 121821828364 152277285455 243643656728 304554570910 335010028001 609109141820 670020056002 1218218283640 1340040112004 1675050140005 2680080224008 3350100280010 6700200560020 13400401120040